The rule to find the cost and the cost of 7 packages can be given as 15n and $105 respectively.
What is Proportionality?When two quantities have some dependence in their values they can be said proportional to each other.
It can be of two types such as direct and indirect.
The direct proportionality means the values of both the quantities are increasing or decreasing at the same time while the indirect proportionality implies value of one quantity is increasing while the other is decreasing.
The table for the given case can be written as follows,
Packages of Golf Balls Cost
1 $15
2 $30
3 $45
4 $60
The relation for proportionality can be obtained as,
15/1 = 30/2 = 45/3 = 60/4 = 15
(A) Suppose n be the number of packages.
Then, the cost is given as 15n.
(B) The cost of 7 packages is as below,
⇒ 15 × 7 = $105
Hence, the answers to both part can be given as 15n and $105 respectively.
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FIND THE VALUE OF EACH EXPONENTIAL NOTATION COLOR THE CORRECT ANSWER THROUGH NAVIGATING THE EXPONENT MAZE. (PA HELP NAMAN GUYS)
The complete maze pattern is shown below.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.An exponent refers to the number of times a number is multiplied by itself.Given is an exponent maze.
We can complete the maze as -
START HERE →→ 3³ → → 9 →→ 1³ →→ 1 →→ 9² →→ 81 →→ 4³ →→ 64 →→ 2⁵ →→ 32 →→ 11² →→ 121 →→ 8² →→ 64 →→ 15³ →→ 3375 →→ 13² →→ 169 →→ 2⁴ →→ 16 →→ 10² →→ 100 →→ 2³ →→ 8 →→ 6⁴ →→ 1296 →→ 12² →→ 144 →→ 3³ →→ 27 →→ YOU MADE IT.
Therefore, the complete maze pattern is shown above.
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Solve this problem
Step by step
The value of x in the shape we have here is given as 18.7 cm
How to solve for the value of xIn this question we are to find the value of x using the values that we already have in the shape.
The base of the diagram has its length as 40 cm.
The shape is made up of two right angled triangles.
since the top of the shape is 26 m, the triangles would be gotten by
40 - 26 = 14
14 / 2 = 7cm
each rectangular base is therefore 7 cm
we have to solve for the value of x using the Pythagorean theorem
hence we would have:
7² + x² = 20²
49 + x² = 400
x² = 400 - 49
x² = 351
x = 18.7 cm
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Victoria has a total of 65 dimes and quarters worth $10.70. How many of each type of coin does she have?
Victoria has 37 dimes and 28 quarters in total.
What is equation modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.
Given is that Victoria has a total of 65 dimes and quarters worth $10.70.
We can write the system of equations as -
x + y = 65
(1/10)x + (1/4)y = 10.70
Refer to the graph attached. On solving the equation graphically, we get-
x = 37, y = 28
Therefore, Victoria has 37 dimes and 28 quarters in total.
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Find the approximate number of grams of milk fat in a 200-gram serving of whole milk.
The answer is :6.5g
What kinds of problems are not solved by algorithms?
Answer:
Undecidable Problems
Step-by-step explanation:
Convert 723.8 mm to cm.
Answer:
72.38
Step-by-step explanation:
When converting from mm to cm divide the length value by 10
for large parties a restaurant adds a 15 service charge. how much would be added to a bill of $638.40
Answer: $95.76
Step-by-step explanation:
If the 15 is referencing 15%.
15% of 638.40 can be found by making 15% a decimal by moving the decimal to the left twice.
.15 X 638.40= 95.76
I NEED HELP PLEASEEE!!!
If the radius is quadrupled, then the area of the new area to the old area will be 4:1
What is quadrupled?You should be aware that the quadrupled of a circle is four times the area of the old one.
In this case the area of the circle is denoted by
Area = πr²
Where r= radius=6 cm
The area of the old circle is 22/7 * 6 * 6
Area of the circle is = 113.1cm²
To this effect, the area of the new circle is 4(area of the old one)
Area = 4*22/7 * 6 * 6
Area = 3167/7
Area is = 452.6
This implies that 4(113.2) =452.6
In conclusion, you will discover that four times the area of the new circle is the old circle
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a taxi charges $2.35 fee plus $0.55 per mile. melissa has no more than $15 to spend on her taxi ride how many miles can she go?
Answer:
2.35 + 0.55 × 15 = 10.6
Therefore, she can go 10.6 miles.
Answer:
10.6
Step-by-step explanation:
2.35 + 0.55 x 15 = 10.6
Becky is able to run up a 3. 00 m high flight of stairs in 2. 5 s if she has a mass of 50 kg how much power did she develop during her run up the stairs how long will it take becky in question 6 to run up a flight of stairs 4. 5 m high?
With a mass of 50 kg, Becky used 588 watts power to sprint up a 3.0 m high set of stairs in 2. 5 seconds. She is able to run up a 4.5 m high flight of stairs in 3.75 s.
How do you calculate power going up stairs?Work (in joules) equals your weight (in newtons) x the height of the stairs (in meters.) The power you now possess is equal to the sum of your labor times the duration of that labor, or: Work (measured in joules) divided by time equals power, measured in watts (in seconds.)
Given that mass of Becky is 50 Kg
gravity of earth is 9.8 m/s²
height of stairs is 3.0 m
time taken to run up in stairs is 2.5 s
Power = work done/ time taken
P = (50*9.8*3.0)/2.5
P = 1470/2.5
P = 588 watt
Becky is able to run up a 3.0 m high flight of stairs in 2.5 s
She is able to run up a 4.5 m high flight of stairs in t = (2.5 * 4.5)/3
t = 11.25/3
t = 3.75 s
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What does the ∑ symbol mean in statistics?
The symbol ∑ (sigma) is used to represent the sum of a set of numbers. This is very important notation in statistics.
What is uses of sigma symbol in statistics?If a hypothesis is correct, a set of data's standard deviation serves as a gauge of how rare it is. Standard deviations are expressed in units called sigma, or, by physicists. The findings are progressively inconsistent with the hypothesis as the number of sigma increases. The word's derivation is derived from the Greek letter "sigma," which is used in statistics to measure how much a process deviates from its mean or goal.
To express the total of a set of data or the total of a function over a specified range, it is frequently used in statistics and probability. For instance, if X is a collection of numbers, the term ∑X would stand for the collection's total. The symbol is typically followed by a variable, such as I indicating the range of the sum, for example, ∑i=1 to n for the summing from i=1 to i=n. The index I is frequently used to identify the individual components of the set.
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Is 9 a positive number?
Yes, 9 is a positive number because 9 is a natural number and also we use 9 in our daily life counting problems also.
Let's first attempt to understand what numbers are.
A number is an arithmetic value that is computed and used to represent a quantity. Numbers are represented in writing by symbols like "3," which are numerical symbols. A number system is a methodical way of employing digits or other symbols to represent numbers. The numerical system is a useful set of numbers that reflects the mathematical and algebraic structure of the number. provides a typical illustration.
Positive numbers Any number that represents something other than zero is considered to be positive. When referring to the amount of money in your bank account, a positive figure would undoubtedly make you feel good as well.
So 9 is a positive number.
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What is the log value of log2?
The log value of log2 is 1Log2 is defined as the logarithm base 2. This means that the logarithm of any number x is equal to the power to which the base 2 must be raised to produce x.
In other words, log2(x) = y, where 2^y = x.
Therefore, when x = 2, 2^y = 2. This means that the logarithm of 2 is equal to 1, since 2^1 = 2.
Therefore, the log value of log2 is 1.
Log2 is an important mathematical concept that is used to calculate the logarithm of a number. Logarithms are used in a variety of fields, including mathematics, physics, engineering, and computer science. Log2 is the logarithm with a base of 2, which means that the logarithm of any number x is equal to the power to which the base 2 must be raised to produce x. To calculate log2 of a number, the formula is log2(x) = y, where 2^y = x. This means that the logarithm of 2 is equal to 1, since 2^1 = 2. Therefore, the log value of log2 is 1. Log2 is often used to calculate logarithms of numbers that are not powers of 2, such as log2(3) = 1.5849. Log2 can also be used to calculate logarithms of numbers with decimals, such as log2(1.5) = 0.5849. Log2 can also be used to calculate exponents, such as 2^3 = 8.
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What are the 4 types of real numbers?
Real numbers are every number that exists in the real line, The four types of real numbers are rational, irrational, Natural and Integers.
What is a real number?In mathematics, a real number is a value that can be represented on the number line. The set of real numbers includes both rational numbers (such as integers, fractions, and decimals) and irrational numbers (such as √2 and π). Real numbers also include positive numbers, negative numbers, and zero. The set of real numbers is usually represented by the symbol R, and it has the properties of being closed under the operations of addition, subtraction, multiplication, and division (except for division by zero).
What are ideal and real solutions?In mathematics, an ideal solution refers to a solution that meets all the desired criteria or requirements without any constraints. It is the "best case" scenario. A real solution, on the other hand, refers to a solution that takes into account all the limitations and constraints of a problem. It is a more practical and realistic solution.
Rational number = 3/4, -6/2, or 0.5.
Irrational number = √2, π, or e.
Natural number = 1,2,3,4....
Integers = -4, -1, 0, 1, 4.
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Find the area of the shaded regions. give your answer as a completely simplified exact value in terms of π
The area of the shaded regions is 4π + 4, which can be obtained by subtracting 2π - 4 from 3π. This is an exact value, with no further simplification required.
Step 1: Calculate the area of the entire circle.
A = πr^2
A = π(5)^2
A = 25π
Step 2: Calculate the area of the unshaded region.
A = πr^2
A = π(2)^2
A = 4π
Step 3: Subtract the area of the unshaded region from the area of the entire circle.
A = 25π - 4π
A = 21π
Step 4: Calculate the area of the shaded region.
A = 21π - (2π - 4)
A = 21π - 2π + 4
A = 19π + 4
A = 4π + 4
The area of the shaded regions can be found by subtracting the area of the unshaded region from the area of the entire circle. To find the area of the entire circle, we use the formula A = πr^2, where r is the radius of the circle. Plugging in r = 5, we get A = 25π. To find the area of the unshaded region, we use the same formula, but now with r = 2. This gives us A = 4π. Subtracting the area of the unshaded region from the area of the entire circle gives us A = 21π. We then subtract 2π - 4 from 21π to get the area of the shaded region, which is 4π + 4. This is an exact value, with no further simplification required.
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A sine function has an amplitude of 3, a period of π, and a phase shift of [tex]\frac{\pi }{4}\\[/tex]. What is the y-intercept of the function?
3
0
-3
[tex]\frac{\pi }{4}[/tex]
The y-intercept of the sine function is -3
We know that the standard form of the sine function is, y = a sin(bx + c) + d
where, amplitude = |a|
period = 2π/b
phase shift = -c/b
and vertical shift = d
Here, a sine function has an amplitude of 3, a period of π, and a phase shift of π/4
a = 3,
So, 2π/b = π
⇒ b = 2
And phase shift -c/b = π/4
⇒ -c/2 = π/4
⇒ -c = π/2
⇒ c = -π/2
So, a sine function would be,
y = 3 sin(2x + -π/2) + 0
y = 3 sin(2x + -π/2)
When x = 0,
y = 3 sin(0+ -π/2)
y = 3 sin(-π/2)
y = 3 × (-1)
y = -3
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If quadrilateral ABCD is a rectangle, where A(-5, -5), B(-10, -3), C(-6, 7) and D(x, y) is unknown. Find the coordinates of the fourth vertex Point D. Write your answer as an ordered pair.
Answer choices
(-1,5)
(-5,6)
(5,1)
(-10.-6)
Answer: No rectangle can make this shape
Step-by-step explanation:
John gains 5% by selling a book for 273. Find the cost price of the book
Answer:
$260
Step-by-step explanation:
$273 - 5% = $260
5% commission = $13
Answer:
260
Step-by-step explanation:
273-5%=260
6 divided by 791 (long division with remainders) Grade 4 division worksheet
Therefore , the solution of the given problem of long division is Quotient is 131 and the Remainder is 5
How does long synthetic division take place?Synthetic division is another way to divide a polynomial but by binary x - c, while c is a constant. The divisor frequently assumes the form of (x a). In synthetic division, you are just interested in the coefficients of the polynomials, unlike long division.
Here,
The given Divisor = 6 and Dividend = 791
Step 1: Take the first digit of the dividend from the left. ...
Step 2: Then divide it by the divisor and write the answer on top as the quotient.
Step 3: Subtract the result from the digit and write the difference below.
long division is a method for dividing large numbers into steps or parts, breaking the division problem into a sequence of easier steps. It is the most common method used to solve problems based on division.
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What is the formula to find the side?
The formula to find the side of a geometric shape depends on the shape itself. Few details like area or perimeter of a shape or surface area or volume of a solid with few other parameters should be known.
Few examples :
For a square, the formula to find the side (s) is:
s = √(A)
where A is the area of the square.
For a rectangle, the formula to find the length (l) and width (w) are:
l = A/w and w = A/l
where A is the area of the rectangle.
For a triangle, the formula to find the base (b) and height (h) are:
A = (b*h)/2
where A is the area of the triangle.
For a cube, the formula to find the side (s) is:
V = s^3
where V is the volume of the cube.
Keep in mind that these are a few examples of formulas that can be used to find the side of a geometric shape. Depending on the specific problem, different formulas may be required.
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please show your work
Erin is picking out some movies to rent, and he has narrowed down his selections to 5 documentaries, 5 mysteries, 5 dramas, and 7 action movies. How many different combinations of 9 movies can he rent if he wants all 5 mysteries
If he wants to rent all 7 comedies, there are 91 different combinations of 9 movies that he could do so.
How are the various combinations determined?The following formula determines how many combinations of n objects can be taken r at a time: (n,r) = C(n,r)! .
She was a master of both wit and martial arts. The art and science of education blend beautifully. He saw slam poetry as the ideal synthesis of thought, writing, and theater. The desired mix is produced by the computer system (the perfect combination of arabica and robusta).
Five documentaries make up the total.
7 comedies total are available.
Four mysteries are present.
5 horror movies are there.
A total of 14 films, excluding comedies, are available.
If he wants to rent all 7 comedies, there are a total of 9 different combinations that he can do.
1 * (14*13)/2 = 91
If he wants to rent all 7 comedies, there are 91 different combinations of 9 movies that he could do so.
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Pls help 1-6 example at the SIDE
A sphere has a radius of 24 centimeters. What is its volume?
V
=
Cm^3
Hello there!
Answer:
[tex]V = 18432\pi[/tex] or approximately 57876.48
Step-by-step explanation:
[tex]V = \frac{4}{3} \pi R^{3}[/tex]
R = 24
[tex]V = \frac{4}{3} \pi *24^{3} = 18432\pi[/tex]
if [tex]\pi =3.14[/tex] then:
[tex]V = 57 876.48[/tex]
PLEASE ANSWER ASAP WILL GIVE BRAINLIEST
Are 6 8 and 9 12 equivalent?
Yes, 6/8 and 9/12 are equal. After simplifying both the fractions we got that both are equal and their value is 3/4.
Let's first try to understand what is a fraction.
In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. The numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom. The denominator specifies the total number of equal parts in the whole, whereas the numerator specifies the number of equal parts that were taken.
A fraction would be 5/10, for instance.
Here, the numerator is 5 and the denominator is 10.
6/8 is a fraction.
6/8 can be simplified further.
6/8 = 3/4
9/12 is also a fraction.
9/12 can be simplified further.
9/12 = 3/4
To compare 2 fractions first we try to make the same denominator.
we have the same value. so they are equivalent.
Given question is incomplete complete the question here:
Are 6/8 and 9/12 equivalent?
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PLEASE HELP 10 POINTS
Answer:
9.75
Step-by-step explanation:
3/4 |1/3x+2| < 6
you can turn the < into a =
then subtract 3/4 from 6 which leaves you with 5.25. And since you know 2 will always be positive because it's in an absolute value bracket 5.25-2=3.25. Which leaves you with
|1/3x| = 3.25
then do 3.25/(1/3) which leaves you with 9.75
:)
A survey of 6000 adults found that 58% say that they would take a ride in a fully
self-driving car. A normal distribution may be used to model the sample proportion.
At 95% confidence, the margin of error for this estimate was 2. 4%. Find the 95%
confidence interval of the true proportion who said that they would take a ride in a
self-driving car.
Source: World Economic Forum and Boston Consulting Group
As per the conditions given by the question, the 95% confidence interval of the true proportion who said that they would take a ride in a self-driving car is (53.3856%, 62.6144%).
Now, According to the question:
What is confidence interval?
A confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts.
To find the 95% confidence interval of the true proportion, we need to use the following formula:
point estimate +/- (margin of error * z-score)
The point estimate in this case is the sample proportion, which is 58%. The margin of error is 2.4%, and the z-score for a 95% confidence interval is 1.96.
Plugging these values into the formula, we get:
58% +/- (2.4% * 1.96)
This simplifies to:
58% +/- 4.6144%
So the 95% confidence interval is:
(53.3856%, 62.6144%)
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The magnolia trees purchased for planting at the school are 3 feel tall. Research shows that these types of trees grow at a average of 3/4 per year.
I made a equation y=3/4x+3
Please help me determine the hight of the tree in 3 years!
Using the linear function given, the tree will have a height of 5.25 feet in 3 years
What is Linear FunctionLinear functions are mathematical functions where the output values are in direct proportion to the input values. A linear function has the form
y = mx + c, where m is the slope of the line and c is the y-intercept.
In this problem, the function given already models y = mx + c
Since y = 3/4x + 3;
The height of the tree in 3 years can be solved as;
y = 3/4(3) + 3
y = 9/4 + 3
y = 5.25
The height of the tree in 3 years is 5.25 feet
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What is the interval of 0 5?
Interval Notation is a way of expressing a subset of real numbers by the numbers that bound them. We can use this notation to represent inequalities. We know an interval expressed as 1 < x < 5 denotes a set of numbers lying between 1 and 5.
Interval notation is a method to represent an interval on a number line. In other words, it is a way of writing subsets of the real number line. An interval comprises the numbers lying between two specific given numbers. For example, the set of numbers x satisfying 0 ≤ x ≤ 5 is an interval that contains 0, 5, and all numbers between 0 and 5.
What is Interval Notation?Interval Notation is a way of expressing a subset of real numbers by the numbers that bound them. We can use this notation to represent inequalities. We know an interval expressed as 1 < x < 5 denotes a set of numbers lying between 1 and 5.
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